Higher-dimensional magnetic Skyrmions

Abstract We propose a generalization of the theory of magnetic Skyrmions in chiral magnets in two dimensions to a higher-dimensional theory with magnetic Skyrmions in three dimensions and an S 3 target space, requiring a 4-dimensional magnetization vector. A physical realization of our theory could...

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Main Authors: Sven Bjarke Gudnason, Stefano Bolognesi, Roberto Menta
Format: Article
Language:English
Published: SpringerOpen 2025-03-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP03(2025)016
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author Sven Bjarke Gudnason
Stefano Bolognesi
Roberto Menta
author_facet Sven Bjarke Gudnason
Stefano Bolognesi
Roberto Menta
author_sort Sven Bjarke Gudnason
collection DOAJ
description Abstract We propose a generalization of the theory of magnetic Skyrmions in chiral magnets in two dimensions to a higher-dimensional theory with magnetic Skyrmions in three dimensions and an S 3 target space, requiring a 4-dimensional magnetization vector. A physical realization of our theory could be made using a synthetic dimension, recently promoted and realized in condensed matter physics. In the simplest incarnation of the theory, we find a Skyrmion and a sphaleron — the latter being an unstable soliton. Including also the Skyrme term in the theory enriches the spectrum to a small metastable Skyrmion, an unstable sphaleron and a large stable Skyrmion.
format Article
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institution OA Journals
issn 1029-8479
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publishDate 2025-03-01
publisher SpringerOpen
record_format Article
series Journal of High Energy Physics
spelling doaj-art-cf06facd0ea44b8381a7488fa3ee556c2025-08-20T02:16:06ZengSpringerOpenJournal of High Energy Physics1029-84792025-03-012025313210.1007/JHEP03(2025)016Higher-dimensional magnetic SkyrmionsSven Bjarke Gudnason0Stefano Bolognesi1Roberto Menta2Institute of Contemporary Mathematics, School of Mathematics and Statistics, Henan UniversityDepartment of Physics “E. Fermi”, University of Pisa, and INFN, Sezione di PisaScuola Normale SuperioreAbstract We propose a generalization of the theory of magnetic Skyrmions in chiral magnets in two dimensions to a higher-dimensional theory with magnetic Skyrmions in three dimensions and an S 3 target space, requiring a 4-dimensional magnetization vector. A physical realization of our theory could be made using a synthetic dimension, recently promoted and realized in condensed matter physics. In the simplest incarnation of the theory, we find a Skyrmion and a sphaleron — the latter being an unstable soliton. Including also the Skyrme term in the theory enriches the spectrum to a small metastable Skyrmion, an unstable sphaleron and a large stable Skyrmion.https://doi.org/10.1007/JHEP03(2025)016Solitons Monopoles and InstantonsField Theories in Higher Dimensions
spellingShingle Sven Bjarke Gudnason
Stefano Bolognesi
Roberto Menta
Higher-dimensional magnetic Skyrmions
Journal of High Energy Physics
Solitons Monopoles and Instantons
Field Theories in Higher Dimensions
title Higher-dimensional magnetic Skyrmions
title_full Higher-dimensional magnetic Skyrmions
title_fullStr Higher-dimensional magnetic Skyrmions
title_full_unstemmed Higher-dimensional magnetic Skyrmions
title_short Higher-dimensional magnetic Skyrmions
title_sort higher dimensional magnetic skyrmions
topic Solitons Monopoles and Instantons
Field Theories in Higher Dimensions
url https://doi.org/10.1007/JHEP03(2025)016
work_keys_str_mv AT svenbjarkegudnason higherdimensionalmagneticskyrmions
AT stefanobolognesi higherdimensionalmagneticskyrmions
AT robertomenta higherdimensionalmagneticskyrmions